Question
If we know r, the radius of a circle, we can find its area, A, using the rule πr
2
.
What are the independent and dependent variables in this situation?
r
Input Output Arrow
πr
2
Input Output Arrow
A
The independent variable is
r
.
The dependent variable is
A
.
You got it!
What equation represents this function? Write an equation in terms of π that shows how we can use the independent variable, r, to find the dependent variable, A.
r
Input Output Arrow
πr
2
Input Output Arrow
A
2
.
What are the independent and dependent variables in this situation?
r
Input Output Arrow
πr
2
Input Output Arrow
A
The independent variable is
r
.
The dependent variable is
A
.
You got it!
What equation represents this function? Write an equation in terms of π that shows how we can use the independent variable, r, to find the dependent variable, A.
r
Input Output Arrow
πr
2
Input Output Arrow
A
Answers
GPT-4o mini
The equation that represents the function showing how the independent variable \( r \) (the radius of the circle) is used to find the dependent variable \( A \) (the area of the circle) can be written as:
\[ A = \pi r^2 \]
This equation indicates that the area \( A \) is directly calculated by taking the square of the radius \( r \) and multiplying it by π.
\[ A = \pi r^2 \]
This equation indicates that the area \( A \) is directly calculated by taking the square of the radius \( r \) and multiplying it by π.